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Grade-5
Adding Fractions With Unlike Denominators - Word Problems
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Luke finished
1
8
of his homework before supper and
2
6
after supper. What fraction of his homework did Luke finish?
(Solve and reduce the fraction.)
Explanation
Remember, we cannot add fractions until the denominators are same. So, we have to find the least common denominator.
Least Common Denominator (LCD) of 8 and 6 is 24.
Now, we have to make sure both fractions have the same new denominator 24.
You can write fraction
1
8
as
1x3
8x3
=
3
24
You can write fraction
2
6
as
2x4
6x4
=
8
24
Now, both fractions have same denominator and we are ready to add
3
24
+
8
24
=
3+8
24
=
11
24
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